Question

what is factor theorem

Answer 1

In algebra, the factor theorem is atheorem linking factors and zeros of a polynomial. It is a special case of the polynomial remaindertheorem. The factor theoremstates that a polynomial has afactor if and only if (i.e. is a root)

Answer 2

The factor theorem is a theorem linking factors and zeros of a polynomial. It is commonly applied to factorizing and finding the roots of polynomial equations. The theorem states that isa factor of a polynomial f(x)if ;that is, r is a root of f(x). ... If , then the remainder is 0 and , showing that is a factor of f(x).